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A new thin layer model for viscous flow between two nearby non-static surfaces
(Wiley, 2023)
[Abstract:] We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between ...
Asymptotic study of a thin layer of viscous fluid between two surfaces
(University of Primorska Press, 2021)
[Abstract:] In this work, we are interested in studying the behavior of an incompressible viscous fluid moving between two closely spaced surfaces, also in motion.
Mathematical perspective on XFEM implementation for models involving contribution on interfaces
(Elsevier, 2024)
[Abstract] Models involving interfaces with discontinuities or even singularities of some fields across them
are very frequent in real life problems modelling. In the last decades, the use of the eXtended
Finite Element ...
Numerical Behaviour of a New LES Model with Nonlinear Viscosity
(2020)
[Abstract] The objective of this paper is to present a new Large Eddy Simulation (LES) model obtained by filtering a generalized version of the Navier–Stokes equations with nonlinear viscosity. This new model is a ...
Asymptotic Analysis of a Problem for Dynamic Thermoelastic Shells in Normal Damped Response Contact
(2021)
[Abstract] The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the ...
A dynamic problem involving a coupled suspension bridge system : numerical analysis and computational experiments
(American Institute of Mathematical sciences, 2019)
[Abstract]: In this paper we study, from the numerical point of view, a dynamic problem which models a suspension bridge system. This problem is
written as a nonlinear system of hyperbolic partial differential equations ...
Mathematical and Asymptotic Analysis of Thermoelastic Shells in Normal Damped Response Contact
(Elsevier, 2021-12)
[Abstract]
The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the ...
Time-averaged shallow water model: asymptotic derivation and numerical validation
(2015)
The objective of this paper is to derive, from the Navier-Stokes equations in a shallow domain,a new bidimensional shallow water model able to filter the high frequency oscillations that are produced, when the Reynolds ...
Asymptotic Analysis of a Thin Fluid Layer Flow Between Two Moving Surfaces
(Elsevier, 2022-03-01)
[Abstract]
In this paper we study the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion. Using the asymptotic expansion method we formally justify two models, a lubrication ...